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Finding the Third Proportional to 595,724.63 and 909,174.38

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Solution

The third proportional to 595,724.63 and 909,174.38 is: 1,387,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,724.63 : 909,174.38 = 909,174.38 : x
  2. Step 2: Convert to fraction form
    595,724.63/909,174.38 = 909,174.38/x
  3. Step 3: Cross multiply
    595,724.63x = 909,174.38 × 909,174.38
  4. Step 4: Simplify right side
    595,724.63x = 826,598,044,156.64
  5. Step 5: Solve for x
    x = 826,598,044,156.64/595,724.63
  6. Step 6: Final answer
    x = 1,387,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.